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Finding the Fourth Proportional to 102,441, 153,721.98 and 43,272.84

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Solution

The fourth proportional to 102,441, 153,721.98 and 43,272.84 is: 64,934.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,441 : 153,721.98 = 43,272.84 : x
  2. Step 2: Convert to fraction form
    102,441/153,721.98 = 43,272.84/x
  3. Step 3: Cross multiply
    102,441x = 153,721.98 × 43,272.84
  4. Step 4: Simplify right side
    102,441x = 6,651,986,645.02
  5. Step 5: Solve for x
    x = 6,651,986,645.02/102,441
  6. Step 6: Final answer
    x = 64,934.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.